Related InterviewSolutions

• The ballistic pendulum is an apparatus used to measure the speed of a fast moving projectile, such as bullet. `A` bullet of mass `m_(1)` is fired into a large block of wood of mass `m_(2)` suspended from light wires. The bullet embeds in the block and the entire system swings through a height `h`. Determine the initial speed of the bullet in terms of `h`?`
• Statement-1 : The momentum of a particle cannot be changed without changing its kinetic energy. Statement-2 : Kinetic energy (K) of a particle is related to momentum (p) as `K=(p^(2))/(2m)`A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.B. Statement -1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.C. Statement-1 is true, statement-2 is false.D. Statement-1 is false, statement-2 is true.
• A small ball `B` of mass `m` is suspended with light inelastic string of length `L` from a block `A` of same mass in which can move on smooth horizontal surface as shown in the figure. The ball is displaced by angle `theta` from equilibrium position and then released. The displacement of block when equilibrium position isA. `(Lsintheta)/(2)`B. `Lsintheta`C. LD. none of these
• Statement-1 : A man falling from a given height on hard ground is hurt more than falling on a soft bed from same height. Statement-2 : A man falling from a given height on hard ground experiences larger impulse than falling on a soft bed in coming to rest in both cases.A. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.B. Statement -1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.C. Statement-1 is true, statement-2 is false.D. Statement-1 is false, statement-2 is true.
• A ball of mass `m` collides horizontally with a stationary wedge on a rough horizontal surface, in the two orientations as shown. Neglect friction between ball and wedge. Two student comment on system of ball and wedge in these situation Saurav: Momentum of system in x-direction will change by significant amount in both cases. Rahul : There are no impulsive external forces in y-direction in both cases hence the total momentum of system in y-direction can be treated as conserved in both cases.A. Saruav is wrong and Rahul is correctB. Saurav is correct and Rahul is wrongC. Both are correctD. Both are wrong
• The system of the wedge and the block connected by a massless spring as shown in the figure is released with the spring in its natural length. Friction is absent. Maximum elongation in the spring will be A. `(3Mg)/(5k)`B. `(6Mg)/(5k)`C. `(4Mg)/(5k)`D. `(8Mg)/(5k)`
• Two massless string of length 5 m hang from the ceiling very near to each other as shown in the figure. Two balls `A` and `B` of masses `0.25kg` and `0.5kg` are attached to the string. The ball `A` is released from rest at a height `0.45m` as shown in the figure. The collision between two balls is completely elastic. Immediately after the collision, the kinetic energy of ball `B` is `1 J` The velocity of ball `A` just after the collision is A. `5ms^(-1)` to the rightB. `5ms^(-1)` to the leftC. `1ms^(-1)` to the rightD. `1ms^(-1)` to the left
• Two identical blocks `A` and `B` connected by massless string, are placed on a frictionless horizontal plane. A bullet havig the same mass, moving with speed `u` strickes block `B` from behind as shown. If the bullet gets embedded into block `B` then finda. the velocity of `A,B,C` after collision. b. impulse on `A` due to tension in the string,c. impulse on `C` due to normal force of collision, d. impulse on `B` due to normal force of collision.
• A small block of mass `2m` initially rests at the bottom of a fixed circular, vertical track, which has a radius of `R`. The contact surface between the mass and the loop is frictionless. `A` bullet of mass `m` strikes the block horizontally with initial speed `v_(0)` and remain embedded in the block as the block and the bullect circle the loop. Determine each of the following in terms of `m,R` and `g`. (a) The speed of the masses immediately after the impact. (b) The minimum initial speed of the bullet if the block and the bullet are to successfully execute a complete ride on the loop
• Consider a rubber ball freely falling from a height ` h = 4.9 m` onto a horizontally elastic plate. Assume that the duration of collision is negligible and the collisions with the plate is totally elastic . Then the velocity as a function of time and the height as a function of time will be :A. B. C. D.